2019/10/07 by Masao Iwamatsu, Iwamatsu, Masao, Hiroyuki Mori +1
Earth and Planetary Sciences · Engineering · Materials Science · #FOS: Physical sciences #Fluid Dynamics and Thin Films #Soft Condensed Matter (cond-mat.soft) #Surface Modification and Superhydrophobicity #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.1910.02669
openalex publication_date 2019/10/07 · openalex created_date 2019/10/10 · openalex updated_date 2026/07/28
The effect of line tension on the axisymmetric nanoscale capillary bridge between two identical substrates with convex, concave and flat geometry at the liquid-vapor equilibrium is theoretically studied. The modified Young's equation for the contact angle, which takes into account the effect of line tension is derived on a general axisymmetric curved surface using the variational method. Even without the effect of line tension, the parameter space where the bridge can exist is limited simply by the geometry of substrates. The modified Young's equation further restricts the space where the bridge can exist when the line tension is positive because the equilibrium contact angle always remain finite and the wetting state near the zero contact angle cannot be realized. It is shown that the interplay of the geometry and the positive line tension restricts the formation of capillary bridge.